My copy of the serial book (Sixth Edition 1975) omits any references to 3J models
I have the 5th and 11th Editions, and they both omit it too. That's why I made this information available here:
Cincinnati Serial Number Index
It includes the J. Here's the specific section:
3J3P No. 3 Plain Dual Power Dial Type Milling Machine—Model OD
3J4P No. 4 Plain Dual Power Dial Type Milling Machine—Model OD
3J5P No. 5 Plain Dual Power Dial Type Milling Machine—Model OD
3J6P No. 6 Plain Dual Power Dial Type Milling Machine—Model OD
3J3U No. 3 Universal Dual Power Dial Type Milling Machine—Model OD
3J4U No. 4 Universal Dual Power Dial Type Milling Machine—Model OD
3J5U No. 5 Universal Dual Power Dial Type Milling Machine—Model OD
3J3U No. 3 Vertical Dual Power Dial Type Milling Machine—Model OD
3J4U No. 4 Vertical Dual Power Dial Type Milling Machine—Model OD
3J5U No. 5 Vertical Dual Power Dial Type Milling Machine—Model OD
3J6U No. 6 Vertical Dual Power Dial Type Milling Machine—Model OD
All the 3J's listed are as Dual Power. The 4J's are listed as High Power. That's why I thought this one was a Dual Power. John are you sure this is a High Power?